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The displacement of a simple harmonic oscillator is given by x(t) = A cos(ωt + φ

Practice Questions

Q1
The displacement of a simple harmonic oscillator is given by x(t) = A cos(ωt + φ). What is the maximum displacement?
  1. A
  2. ω
  3. φ
  4. 0

Questions & Step-by-Step Solutions

The displacement of a simple harmonic oscillator is given by x(t) = A cos(ωt + φ). What is the maximum displacement?
  • Step 1: Understand the equation x(t) = A cos(ωt + φ).
  • Step 2: Identify the term 'A' in the equation. This term represents the amplitude.
  • Step 3: Recognize that the amplitude 'A' is the maximum value that the displacement x(t) can reach.
  • Step 4: Conclude that the maximum displacement in simple harmonic motion (SHM) is equal to the amplitude A.
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